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Finding the Fourth Proportional to 259,426.91, 357,954.45 and 157,505.96

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Solution

The fourth proportional to 259,426.91, 357,954.45 and 157,505.96 is: 217,325.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,426.91 : 357,954.45 = 157,505.96 : x
  2. Step 2: Convert to fraction form
    259,426.91/357,954.45 = 157,505.96/x
  3. Step 3: Cross multiply
    259,426.91x = 357,954.45 × 157,505.96
  4. Step 4: Simplify right side
    259,426.91x = 56,379,959,283.52
  5. Step 5: Solve for x
    x = 56,379,959,283.52/259,426.91
  6. Step 6: Final answer
    x = 217,325.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.